For conducting a two-tailed hypothesis test with a certain data set, using the smaller of n1-1 and n2-1 for the degrees of freedom results in df=11, and the corresponding critical values are t=+-2.201. Using the formula for the exact degrees of freedom results in df=19.063, and the corresponding critical values are t=+-2.093. How is using the critical values of t=+-2.201 more "conservative" than using the critical values of +- 2.093?

For conducting a two-tailed hypothesis test with a certain data set, using the smaller of n1-1 and n2-1 for the degrees of freedom results in df=11, and the corresponding critical values are t=+-2.201. Using the formula for the exact degrees of freedom results in df=19.063, and the corresponding critical values are t=+-2.093. How is using the critical values of t=+-2.201 more "conservative" than using the critical values of +- 2.093?

Name: For conducting a two-tailed hypothesis test with a certain data set,
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: For conducting a two-tailed hypothesis test with a certain data set, using the smaller of n1-1 and n2-1 for the degrees of freedom results in df=11, and the corresponding critical values are t=+-2.201. Using the formula for the exact degrees of fr

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

See similar textbooks

Similar questions

In a sample of 81 adults selected from one town, it is found that 8 of them have been exposed to a particular strain of the flu. At the 0.01 level of significance, you wish to test the claim that the proportion of all adults in the town that have been exposed to this strain of flu is 8%. A)Give the null and alternative hypotheses and state whether this is one or two tailed test. B)Compute test statictic. C) Use the traditional method to decide if you should reject the null hypothesis or not. D) Use the P-value method to decide if you should reject the null hypothesis or not.
A researcher is using a two-tailed hypothesis test with α = 0.01 to evaluate the effect of a treatment. If theboundaries for the critical region are t = ± 2.845, then how many individuals are in the sample
If the decision rule for a one-tailed test of hypothesis is given as: Reject Ho if z<-2.36. What is the value of alpha?
The test statistic ofz=0.61 is obtained when testing the claim that p>0.8. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.01,should we reject H0 or should we fail to reject H0?
For a one-tailed hypothesis test the critical value is 2.485. What is your statistical decision if t sTAT =+2.869 ? What is the statistical decision? A. Since the t STAT value is less than the critical value, reject H_{0} B. Since the t STAT value is greater than the critical value, do not reject . Since the t STAT value is greater than the critical value, reject H_{0} D. Since the t STAT value is less than the critical value, do not reject H_{0}
A breathalyser test is used by police in an area to determine whether a driver has an excess of alcohol in their blood. The device is not totally reliable: 6 % of drivers who have not consumed an excess of alcohol give a reading from the breathalyser as being above the legal limit, while 10 % of drivers who are above the legal limit will give a reading below that level. Suppose that in fact 12 % of drivers are above the legal alcohol limit, and the police stop a driver at random. Give answers to the following to four decimal places. Part a) What is the probability that the driver is incorrectly classified as being over the limit? Part b) What is the probability that the driver is correctly classified as being over the limit? Part c) Find the probability that the driver gives a breathalyser test reading that is over the limit. Part d) Find the probability that the driver is under the legal limit, given the breathalyser reading is also below the limit.
A local chess club claims that the length of time to play a game has a mean of 23 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to play a game is ▼ less than equal to less than or equal to greater than not equal to greater than or equal to 23 minutes, but you ▼ fail to reject reject the null hypothesis, ▼ Upper H 0 : mu less than 23H0: μ<23 Upper H 0 : mu equals 23H0: μ=23 Upper H 0 : mu not equals 23H0: μ≠23 Upper H 0 : mu less than or equals 23H0: μ≤23 Upper H 0 : mu greater than or equals 23H0: μ≥23 Upper H 0 : mu greater than 23H0: μ>23 . A type II error will occur if the actual mean of the length of time to play a game is ▼ not equal to greater than or equal to equal to greater than less than or equal to less than 23 minutes, but you ▼ fail to reject reject the null hypothesis, ▼…
a cereal company claims that the mean weight of the cereal in its packets is at least 14oz. express the null hypothesis and the alternatvie hypothesis in symbolic form
In a hypothesis test, the null hypothesis states that the population proportion of individuals who support a certain political candidate is equal to 0.6. A sample of size 400 is taken and 175 individuals support the candidate. What is the Z-score for this hypothesis test?
A single observation of a random variable having ageometric distribution is used to test the null hypothesisθ = θ0 against the alternative hypothesis θ = θ1 > θ0. Ifthe null hypothesis is rejected if and only if the observedvalue of the random variable is greater than or equal to the positive integer k, find expressions for the probabili-ties of type I and type II errors.
A researcher collects data that represents the average number of hours of sleep in the last two nights by 8 depressed patients and 9 non-depressed patients. The researcher is interested in whether the two groups reliably differ in the amount of sleep they get. 1.Which statistical test is appropriate here. Why? 2.What are the null and alternative hypotheses? (Make these two-tailed.) 3.How many degrees of freedom are there? What is tcrit (alpha = 0.05, 2tail)? 4.Calculate tobt by hand, using the mean and s.d data from Jamovi 5.What is your conclusion about H0, using alpha = 0.05, 2tail? What is the basis for your decision? In addition to stating whether the null should be rejected or not, say what that conclusion MEANS in the context of this particular situation.
In a survey, two independent random samples of workers of sizes m = 124 and n = 130 from two construction firms, were asked if they wear security helmets all the time. In the first sample 106 said yes, while in the second 98 said yes. Let p1 and p2 be the population proportions of workers of the two firms who wear their security helmets all the time. Test the equality of p1 and p2 at a = 0.05 (large sample procedure), by the same 5 steps as before. Construct a large sample 90% confidence interval for p1 – p2.